हिंदी

∫logx(logex)2⋅dx = ______. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

`int logx/(log ex)^2*dx` = ______.

विकल्प

  • `x/(1 + log x) + c`

  • x(1 + log x) + c

  • `1/(1 + log x) + c`

  • `1/(1 - log x) + c`

MCQ
रिक्त स्थान भरें

उत्तर

`int logx/(log ex)^2*dx` = `underlinebb(x/(1 + log x) + c)`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १५०]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.17 | पृष्ठ १५०

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Evaluate :

`int(sqrt(cotx)+sqrt(tanx))dx`


Find : `int(x+3)sqrt(3-4x-x^2dx)`


Integrate the functions:

sin (ax + b) cos (ax + b)


Integrate the functions:

`sqrt(ax + b)`


Integrate the functions:

`e^(tan^(-1)x)/(1+x^2)`


Integrate the functions:

`sqrt(tanx)/(sinxcos x)`


Integrate the functions:

`(1+ log x)^2/x`


Integrate the functions:

`(x^3 sin(tan^(-1) x^4))/(1 + x^8)`


Evaluate `int 1/(3+ 2 sinx + cosx) dx`


\[\int e^x \sqrt{e^{2x} + 1} \text{ dx}\]

\[\int\sqrt{16 x^2 + 25} \text{ dx}\]

\[\int\sqrt{4 x^2 - 5}\text{ dx}\]

Write a value of

\[\int x^2 \sin x^3 \text{ dx }\]

Write a value of

\[\int\frac{\cos x}{3 + 2 \sin x}\text{  dx}\]

 Write a valoue of \[\int \sin^3 x \cos x\ dx\]

 


Write a value of\[\int\left( e^{x \log_e \text{  a}} + e^{a \log_e x} \right) dx\] .


Write a value of\[\int\frac{\sin 2x}{a^2 \sin^2 x + b^2 \cos^2 x} \text{ dx }\]


Write a value of\[\int e^{ax} \cos\ bx\ dx\].

 


Write a value of\[\int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) dx\] .


Write a value of\[\int\sqrt{9 + x^2} \text{ dx }\].


\[\int\frac{\sin x + 2 \cos x}{2 \sin x + \cos x} \text{ dx }\]


 Show that : `int _0^(pi/4) "log" (1+"tan""x")"dx" = pi /8 "log"2`


Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`


Evaluate the following integrals : `int(4x + 3)/(2x + 1).dx`


Evaluate the following integrals : `int(x - 2)/sqrt(x + 5).dx`


Integrate the following functions w.r.t. x : `(logx)^n/x`


Integrate the following functions w.r.t. x : `(1 + x)/(x.sin (x + log x)`


Integrate the following functions w.r.t. x : `(x^2 + 2)/((x^2 + 1)).a^(x + tan^-1x)`


Integrate the following functions w.r.t. x : `(1)/(sqrt(x) + sqrt(x^3)`


Integrate the following functions w.r.t. x : `(1)/(x(x^3 - 1)`


Integrate the following functions w.r.t. x : `(1)/(2 + 3tanx)`


Evaluate the following : `int sqrt((2 + x)/(2 - x)).dx`


Evaluate the following : `int (1)/(5 - 4x - 3x^2).dx`


Evaluate the following : `int (1)/(4 + 3cos^2x).dx`


Evaluate the following : `int sinx/(sin 3x).dx`


Integrate the following functions w.r.t. x : `int (1)/(2 + cosx - sinx).dx`


Integrate the following functions w.r.t. x : `int (1)/(3 + 2sin x - cosx)dx`


Choose the correct options from the given alternatives :

`int (e^(2x) + e^-2x)/e^x*dx` =


Evaluate `int (1 + "x" + "x"^2/(2!))`dx


Evaluate `int (3"x"^2 - 5)^2` dx


If f'(x) = x2 + 5 and f(0) = −1, then find the value of f(x).


If f'(x) = 4x3 − 3x2  + 2x + k, f(0) = 1 and f(1) = 4, find f(x).


Evaluate the following.

`int (2"e"^"x" + 5)/(2"e"^"x" + 1)`dx


Evaluate the following.

`int 1/("x"^2 + 4"x" - 5)` dx


Evaluate the following.

`int 1/(sqrt("x"^2 + 4"x"+ 29))` dx


Evaluate the following.

`int 1/(sqrt(3"x"^2 - 5))` dx


`int (x^2 + x - 6)/((x - 2)(x - 1))dx = x` + ______ + c


Evaluate: `int sqrt("x"^2 + 2"x" + 5)` dx


`int cos sqrtx` dx = _____________


Choose the correct alternative:

`int(1 - x)^(-2) dx` = ______.


If `tan^-1x = 2tan^-1((1 - x)/(1 + x))`, then the value of x is ______ 


`int (cos x)/(1 - sin x) "dx" =` ______.


If I = `int (sin2x)/(3x + 4cosx)^3 "d"x`, then I is equal to ______.


`int[ tan (log x) + sec^2 (log x)] dx= ` ______


Write `int cotx  dx`.


`int(1 - x)^(-2)` dx = `(1 - x)^(-1) + c`


Find `int dx/sqrt(sin^3x cos(x - α))`.


Evaluate `int_(logsqrt(2))^(logsqrt(3)) 1/((e^x + e^-x)(e^x - e^-x)) dx`.


Evaluated the following

`int x^3/ sqrt (1 + x^4 )dx`


Evaluate the following.

`int x^3/(sqrt(1+x^4))dx`


Evaluate `int(1+ x + x^2/(2!)) dx`


Evaluate `int 1/("x"("x" - 1)) "dx"`


Evaluate `int1/(x(x - 1))dx`


Evaluate.

`int (5x^2 - 6x + 3)/(2x - 3) dx`


Evaluate:

`int sqrt((a - x)/x) dx`


Evaluate `int 1/(x(x-1))dx`


`int x^2/sqrt(1 - x^6)dx` = ______.


Evaluate:

`int sin^3x cos^3x  dx`


Evaluate `int(1+x+x^2/(2!))dx`


If f '(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).


Evaluate the following.

`int1/(x^2+4x-5)dx`


Evaluate `int(1 + x + x^2 / (2!))dx`


Evaluate the following.

`int1/(x^2+4x-5)dx`


Evaluate `int1/(x(x - 1))dx`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×